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Finding the Fourth Proportional to 3,956.21, 5,934.83 and 1,457.57

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Solution

The fourth proportional to 3,956.21, 5,934.83 and 1,457.57 is: 2,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.21 : 5,934.83 = 1,457.57 : x
  2. Step 2: Convert to fraction form
    3,956.21/5,934.83 = 1,457.57/x
  3. Step 3: Cross multiply
    3,956.21x = 5,934.83 × 1,457.57
  4. Step 4: Simplify right side
    3,956.21x = 8,650,393.20
  5. Step 5: Solve for x
    x = 8,650,393.20/3,956.21
  6. Step 6: Final answer
    x = 2,186.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.